Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

The point that the equations have in common.

Front

What does it mean when two lines intersect on a graph?

Back

It means that the system of equations has a unique solution at that point.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you find the slope of a line?

Back

Slope is calculated as the rise over run, or the change in y divided by the change in x.

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio to plot second point 3. Draw the line.

Front

What does it mean if two lines are parallel?

Back

It means that the system of equations has no solution, as the lines never intersect.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines representing the equations intersect.

Front

What is the significance of the point (1, -1) in a system of equations?

Back

It is a solution to the system, meaning it satisfies both equations.

Front

What does 'no solution' mean in the context of systems of equations?

Back

It means that the equations represent parallel lines that do not intersect.